# The moduli space of isometry classes of globally hyperbolic spacetimes

@article{Bombelli2004TheMS, title={The moduli space of isometry classes of globally hyperbolic spacetimes}, author={L Bombelli and Johan Noldus}, journal={Classical and Quantum Gravity}, year={2004}, volume={21}, pages={4429-4453} }

This paper is part of a research programme on the structure of the moduli space of Lorentzian geometries, a Lorentzian analogue of Gromov–Hausdorff theory based on the use of the Lorentz distance as basic kinematical variable. We first prove results aimed at a better understanding of the tools available in this framework, such as the relationship between notions of closeness used to define limit spaces, and the properties of the auxiliary 'strong' Riemannian metric defined on each Lorentz space…

## 25 Citations

### A Lorentzian Gromov–Hausdorff notion of distance

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This paper is the first of three in which I study the moduli space of isometry classes of (compact) globally hyperbolic spacetimes (with boundary). I introduce a notion of Gromov–Hausdorff distance…

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This paper is the first of three in which I study the moduli space of isometry classes of (compact) globally hyperbolic spacetimes (with boundary). I introduce a notion of Gromov?Hausdorff distance…

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